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All Journal Majalah Ilmiah Matematika dan Statistika (MIMS)
Ilham, Pandu Setya
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Mathematics

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PELABELAN ODD-GRACEFUL PADA GRAF PRODUK SISIR Daniel, Juan; Barack, Zeveliano Zidane; Ilham, Pandu Setya; Sugeng, Kiki Ariyanti
Majalah Ilmiah Matematika dan Statistika Vol 22 No 1 (2022): Majalah Ilmiah Matematika dan Statistika
Publisher : Jurusan Matematika FMIPA Universitas Jember

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.19184/mims.v22i1.30186

Abstract

Gnanajothi defined a graph with edges to be odd-graceful if there is an injective function such that if every edge is labelled with the resulting edge labels are . She proved that the graph obtained by joining one pendant to every vertex in is odd-graceful if and only if is even. In this paper, we extend her results by proving that is odd-graceful if and only if is even.Keywords: Vertex-labelling, odd-graceful, cycleMSC 2020: 05C78
Co-Authors Barack, Zeveliano Zidane Daniel, Juan Kiki Ariyanti Sugeng